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Finding the Fourth Proportional to 2,497.16, 3,744.82 and 830.98

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Solution

The fourth proportional to 2,497.16, 3,744.82 and 830.98 is: 1,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.16 : 3,744.82 = 830.98 : x
  2. Step 2: Convert to fraction form
    2,497.16/3,744.82 = 830.98/x
  3. Step 3: Cross multiply
    2,497.16x = 3,744.82 × 830.98
  4. Step 4: Simplify right side
    2,497.16x = 3,111,870.52
  5. Step 5: Solve for x
    x = 3,111,870.52/2,497.16
  6. Step 6: Final answer
    x = 1,246.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.